#8451: improve galois representation for elliptic curves
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   Reporter:  wuthrich         |       Owner:  cremona                          
                    
       Type:  defect           |      Status:  needs_review                     
                    
   Priority:  major            |   Milestone:  sage-4.4                         
                    
  Component:  elliptic curves  |    Keywords:  elliptic curves, galois 
representation, is_surjective
     Author:  Chris Wuthrich   |    Upstream:  N/A                              
                    
   Reviewer:                   |      Merged:                                   
                    
Work_issues:                   |  
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Comment(by rlm):

 I ran long tests, and everything passed. A couple questions:

 For reducible primes, not sure whether you need is_prime(p) -- doesn't
 isogeny_class only list prime degree isogenies?

 Can we get rid of the "irregardless" in is_surjective? I hate that non-
 word!

 Replace "Borel" with "Borel subgroup" in image_type


 I'm not entirely confident enough to give this a positive review on my
 own, maybe someone else could look it over too?


 Also, a question: if I run over all curves where the code in this ticket
 gives one of

 The image could not be determined, it is likely that the image in PGL_2 is
 A_4

 The image could not be determined, it is likely that the image in PGL_2 is
 S_4

 or

 The image could not be determined, it is likely that the image in PGL_2 is
 A_5

 Are these the only cases that would be incorrect with the code as it is
 now?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8451#comment:5>
Sage <http://www.sagemath.org>
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